Self Locking Lathe Tool Height Adjustment

[uv8452]

Nice and impeccable workmanship. Permissible is what likes.
But I would be annoyed by the nut's dead angle the allen key requires.
Why not (e.g.) slit a larger ø nut laterally and clamp/brace it with an axial allen screw?
We know this principle from 'playless' spindle nuts.